Question : When 175 is added to 12.5% of a number, the resultant is the number itself. What is the value of the number?
Option 1: 280
Option 2: 200
Option 3: 240
Option 4: 300

Question

Question : When 175 is added to 12.5% of a number, the resultant is the number itself. What is the value of the number?

Option 1: 280

Option 2: 200

Option 3: 240

Option 4: 300

Team Careers360 · Accepted Answer

Correct Answer: 200

Solution : When 175 is added to 12.5% of a number, the resultant is the number itself.
x% of y = $\frac{ ext{x}}{100} imes ext y$
Let the number be x.
⇒ $175+\frac{12.5}{100} imes ext x = ext x$
Solving for x,
⇒ $(\frac{100-12.5}{100})$x = 175
⇒ x = $175 imes \frac{100}{87.5}$ = 200
$ herefore$ The number is 200.
Hence, the correct answer is 200.

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Question : When 175 is added to 12.5% of a number, the resultant is the number itself. What is the value of the number?Option 1: 280Option 2: 200Option 3: 240Option 4: 300

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Question : When 175 is added to 12.5% of a number, the resultant is the number itself. What is the value of the number?
Option 1: 280
Option 2: 200
Option 3: 240
Option 4: 300